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The Riemann-Stieltjes integral: and some applications in complex analysis and probability theoryPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2014 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
##### Abstract [en]

##### Place, publisher, year, edition, pages

2014. , 41 p.
##### National Category

Mathematical Analysis
##### Identifiers

URN: urn:nbn:se:umu:diva-89199OAI: oai:DiVA.org:umu-89199DiVA: diva2:719488
##### Educational program

Bachelor of Science in Physics and Applied Mathematics
#####

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Available from: 2014-06-18 Created: 2014-05-26 Last updated: 2015-06-09Bibliographically approved

The purpose of this essay is to prove the existence of the Riemann-Stieltjes integral. After doing so, we present some applications in complex analysis, where we define the complex curve integral as a special case of the Riemann- Stieltjes integral, and then focus on Cauchy’s celebrated integral theorem. To show the versatility of the Riemann-Stieltjes integral, we also present some applications in probability theory, where the integral generates a general formula for the expectation, regardless of its underlying distribution.

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